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Finding the Fourth Proportional to 71,536.68, 107,323.73 and 41,522.06

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Solution

The fourth proportional to 71,536.68, 107,323.73 and 41,522.06 is: 62,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,536.68 : 107,323.73 = 41,522.06 : x
  2. Step 2: Convert to fraction form
    71,536.68/107,323.73 = 41,522.06/x
  3. Step 3: Cross multiply
    71,536.68x = 107,323.73 × 41,522.06
  4. Step 4: Simplify right side
    71,536.68x = 4,456,301,612.25
  5. Step 5: Solve for x
    x = 4,456,301,612.25/71,536.68
  6. Step 6: Final answer
    x = 62,293.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.